13 citations · 13 across the 6 of their papers we have counts for
9 papers
Fiber Functors of Equivariantizations of Finite Tensor Categories
César Galindo, Claudia Gallego, Yiby Morales
Let be a finite group acting on a finite tensor category . We classify fiber functors on the equivariantization in terms of equivariant exact modul…
The PI property of skew PBW extensions
James Gómez, Claudia Gallego
In this article we study the polynomial identity (PI) property of skew PBW extensions. We show that every bijective skew PBW extension over a prime PI-algebra has nontrivial center…
The PI Property in Algebras of Polynomial Type
James Gómez, Claudia Gallego
In this article, we study the PI property for several families of noncommutative algebras of polynomial type. Specifically, we review criteria for the PI property in double Ore ext…
Noncommutative coding theory and algebraic sets for skew PBW extensions
Oswaldo Lezama, Claudia Gallego
The classical commutative coding theory has been recently extended to noncommutative rings of polynomial type. There are many interesting works in coding theory over single Ore ext…
Stable rank of down-up algebras
Claudia Gallego, Andrea Solotar
We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra has a non-free,…
Filtered-graded transfer of noncommutative Gröbner bases
Claudia Gallego
As the case of free -algebras and algebras, given a bijective skew extension , we will show that it is possible transfer Gröbner bases between and its ass…
Matrix computations on projective modules using noncommutative Gröbner bases
Claudia Gallego
Constructive proofs of fact that a stably free left -module with ranksr is free, where sr denotes the stable rank of an arbitrary ring , were developed…
Projective modules and Gröbner bases for skew PBW extensions
Oswaldo Lezama, Claudia Gallego
Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions.…
d-Hermite rings and skew PBW extensions
Oswaldo Lezama, Claudia Gallego
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimens…